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23 June, 07:39

The trapezoid in the figure has equal nonparaellel sides. The upper base is 6 the lower base is 16 and the diagonal is 12. What is the altitude of the trapezoid

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  1. 23 June, 10:31
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    4.8

    Explanation:

    We have assume a right triangle to be formed from the given description so for the altitude we can use the Pythagoras theorem.

    a²+b²=c² (where a and b are the side lengths and c is the hypotenuse)

    Putting the values that we have.

    11²+b²=12²

    simplify this,

    121+b²=144

    subtract 121 from both sides

    b²=23

    To solve for the missing side/altitude we just need to find the square root of 23

    b=√23

    It is approximately 4.8
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